Question

If A = {x:x is a prime factor of 2310} and B= {x:x is a factor of 60} then find (AuB)-(AnB) and (A-B) u (B-A ​

Answer 1

Answer:

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Answer 2

Given:

If A = {x:x is a prime factor of 2310} and B= {x:x is a factor of 60}

To Find:

find (AuB)-(AnB) and (A-B) u (B-A)

Solution:

Let us first create the sets required which are,

Set A={2,3,5,7,11}

Set B={2,3,5}

(Union of sets means all the values of the two sets and the intersection of sets means the common values in the sets)

So now we can perform the calculation but first let's find some value beforehand, that is

$(A\bigcup B)={2,3,5,7,11}\\(A\bigcap B)={2,3,5}\\(A-B)={7,11}\\(B-A)= \emptyset$

Now we can find the values,

(a)

$(A\bigcup B)-(A\bigcap B)=\{7,11\}$

Hence, the value of (AuB)-(AnB) is {7,11}.

(b)

$(A-B)\bigcup(B-A)=\{7,11\}$

Hence, the value of  (A-B) u (B-A) is {7,11}.